Best Answer

To get the number of subsets of size less than 2:

  • Total number of subsets of a set of size N is 2N
  • Total number of subsets of size 1 is 100
  • Total number of subsets of size 0 is 1
  • Total number of subsets of size 2 is 100*99/2 = 4950

Sum up: 100 + 1 + 4950 = 5051

Subtract this from total subsets: 2100 - 5051 (Answer)

User Avatar

Wiki User

โˆ™ 2012-11-28 07:41:36
This answer is:
User Avatar
Study guides


20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

See all cards
1759 Reviews

Add your answer:

Earn +20 pts
Q: How many subsets with more than two elements does a set with 100 elements have?
Write your answer...
Still have questions?
magnify glass
Related questions

What Is partitioning in math?

Partitioning is dividing a set of things into subsets such that the union of all the subsets is the original set and the intersection of any two subsets is the null set. That is, between them, the subsets account for the whole of the original set and there are no elements in more than one subset.

Can you relate the number of elements of a set to its number of subsets?

If the set has "n" elements, then you can make 2n different subsets. The number of subsets will always be greater than the size of the set, both for finite and for infinite sets.

How many subsets of a set with 100 elements have more than one element?

It is 2^100 because each of 100 elements can either be in or out. By the way the answer is 2^100-101, because there is one subset with no elements at all (the empty set)!

How does cardinality relates to number of subset of a set?

If a set has "n" elements, then it will have 2n subsets. This number of subsets is always larger than the number of elements - whether the set is finite or infinite.

If the given set A has n elements then set A has 2n subsets how many subsets are there in R equals even numbers less than 20?

Hi Suppose, I found that number of subsets of set S having n elements can be found by using formula 2^n, where n is number of elements of S. Let S(n) represents number of subsets of set S having n elements. S(n) = 2^n S(n+1) = 2^(n+1)

Is there more compoundsor more elements?

There are far more compounds than elements: Fewer than 200 elements and many million distinct compounds.

Are there more elements than compounds?

No. There are only a hundred or so naturally occurring elements from which many, millions of compounds are made. A compound is a combination of two or more elements. There are far more compounds than there are elements.

Is there more compounds than elements?

There are more compounds than elements

What are some covalent compounds with more than three elements?

Nucleic acids would be one example of a covalent compound with more than 3 elements. Proteins have more than 3 elements as well. Many organic compounds do, it is quite common.

Elements with more than 92 protons are called?

Elements with more than 92 protons are called Transuranic elements.

Is there 91 elements?

There are many more elements than just 91. There are in fact 114 officially recognised elements. All these elements are arranged on the Periodic Table of the Elements.

Of more than 100 elements listed in the periodic table of elements about how many are common to living organisms?


People also asked